{"id":21221,"date":"2026-05-25T22:27:00","date_gmt":"2026-05-25T16:27:00","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-3\/"},"modified":"2026-05-25T22:27:00","modified_gmt":"2026-05-25T16:27:00","slug":"simplify-a-square-root-using-square-factors-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/simplify-a-square-root-using-square-factors-3\/","title":{"rendered":"Simplify a square root using square factors"},"content":{"rendered":"<p>Simplify \u221a112 as much as possible.<\/p>\n<ul class=\"quiz-options\">\n<li>28<\/li>\n<li>4\u221a7<\/li>\n<li>4\u221a16<\/li>\n<li>\u221a7<\/li>\n<li>7\u221a4<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2655,2900],"subject":[2750],"education_level":[1894],"class_list":["post-21221","mcq","type-mcq","status-publish","hentry","topic-square-roots","topic-surds","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Look for the largest square factor of 112. Since 112 = 16 \u00d7 7 and \u221a16 = 4, we get \u221a112 = 4\u221a7. To simplify a surd, split the number under the root into a perfect-square factor and the remaining factor. Take the square root of the perfect square outside the radical. The expression is simplified when no square factor greater than 1 remains under the root. The correct answer is 4\u221a7, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"28"},{"right":"yes","answer":"4\u221a7"},{"right":"no","answer":"4\u221a16"},{"right":"no","answer":"\u221a7"},{"right":"no","answer":"7\u221a4"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2655,"title":"Square Roots","slug":"square-roots"},{"id":2900,"title":"Surds","slug":"surds"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=21221"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21221"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21221"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21221"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}